Oscillation and nonoscillation theorems for second order nonlinear differential equations
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Abstract
New oscillation and nonoscillation theorems are obtained for the second order nonlinear differential equation
$$ (|u'(t)|^{\alpha -1} u'(t))' + p(t)|u(t)|^{\alpha -1} u(t) = 0 $$
where $ p(t) \in C [0, \infty) $ and $ p(t) \ge 0 $. Conditions only about the integrals of $ p(t) $ on every interval $ [2^n t_0, 2^{n+1} t_0] $ ($ n = 1, 2, \ldots $) for some fixed $ t_0 >0 $ are used in the results.
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How to Cite
Jianchu, J. (2001). Oscillation and nonoscillation theorems for second order nonlinear differential equations. Tamkang Journal of Mathematics, 32(2), 95–102. https://doi.org/10.5556/j.tkjm.32.2001.350
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